(5c²+5cd)+(4c²d-2cd-6)+(-cd+8)
(5c²+5cd)+(4c²d-2cd-6)+(-cd+8)
= 5c²+5cd+4c²d-2cd-6-cd+8
= 5c^2 + 4c^2d + 2cd + 2
5c/2cd
To simplify the expression (5c²+5cd)+(4c²d-2cd-6)+(-cd+8), we will combine like terms.
Step 1: Group the terms with the same variables together.
(5c² + 5cd) + (4c²d - 2cd - 6) + (-cd + 8)
Step 2: Combine the terms within each group first.
For the first group (5c² + 5cd), there are no like terms to combine.
For the second group (4c²d - 2cd - 6), there are no like terms to combine.
For the third group (-cd + 8), there are no like terms to combine.
Step 3: Combine the three groups together.
(5c² + 5cd) + (4c²d - 2cd - 6) + (-cd + 8)
Step 4: Distribute the negative sign to the terms in the third group.
(5c² + 5cd) + (4c²d - 2cd - 6) - cd + 8
Step 5: Combine all the like terms.
5c² + 5cd + 4c²d - 2cd - 6 - cd + 8
Finally, the simplified expression is:
9c²d + 3cd + 2
To simplify the expression, we grouped the terms with the same variables together and then combined the like terms. This way we were able to simplify the given expression.